Question

Sara selects two of the seven colors of the rainbow, one after another, with replacement. What is the probability that the first color is red and the second is orange?
A. 1 /7

B. 1/ 21

C. 1 /49

D. 1 /14

Answer 1

The two events are independent, because the selection of the first color (red) does not modifiy the probabilities of the second color (orange). Then the combined probability is the product of the two independent events:

1/7 * 1/7 = 1 / 49

Answer: option C. 1/49